Novel 16-QAM and 64-QAM Near-Complementary Sequences with Low PMEPR in OFDM Systems

• Published in: arXiv.org 2016-07
• Main Authors: Jiang, Tao, Ni, Chunxing, Xu, Yuance
• Format: Article
• Language: English
• Subjects: Digital transmission; Electric noise; Offsets; Orthogonal Frequency Division Multiplexing; Quadrature amplitude modulation; Sequences; Signal to noise ratio
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1607.03341

In this paper, we firstly propose a novel construction of \(16\)-quadrature amplitude modulation (QAM) near-complementary sequences with low peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency division multiplexing (OFDM) systems. The proposed \(16\)-QAM near-complementary sequences can be constructed by utilizing novel nonlinear offsets, where the length of the sequences is \(n=2^m\). The family size of the newly constructed \(16\)-QAM near-complementary sequences is \(8\times (\frac{m!}{2})\times 4^{m+1}\), and the PMEPR of these sequences is proven to satisfy \({\textrm{PMEPR}}\leq 2.4\). Thus, the proposed construction can generate a number of \(16\)-QAM near-complementary sequences with low PMEPR, resulting in the improvement of the code rate in OFDM systems. Furthermore, we also propose a novel construction of \(64\)-QAM near-complementary sequences with low PMEPR, which is the first proven construction of \(64\)-QAM near-complementary sequences. The PMEPRs of two types of the proposed \(64\)-QAM near-complementary sequences are proven to satisfy that \({\textrm{PMEPR}}\leq 3.62\) or \({\textrm{PMEPR}}\leq 2.48\), respectively. The family size of the newly constructed \(64\)-QAM near-complementary sequences is \(64\times (\frac{m!}{2})\times 4^{m+1}\).